Hexaflexagons and Other Mathematical Diversions has ratings and 15 reviews. Nandakishore said: This is the first book by Martin Gardner I read – and.. . HEXAFLEXAGONS AND OTHER MATHEMATICAL DIVERSIONS THE FIRST SCIENTIFIC AMERICAN BOOK OF MATHEMATICAL PUZZLES AND GAMES. Hexaflexagons and Other Mathematical Diversions: The First Scientific American Book of Puzzles and Games. Front Cover · Martin Gardner. University of.

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The simple or honest liar an- swers “yes” and sets off for the village. What hand must this be?

Others are not so sure. Owing to the shorter distance between your two sides diersions the board, it is impossible for you to lose! By omnibus I traveled to Brooklyn. This corresponds to the order of transferring four disks in the Tower of Hanoi. C and D, the D coordinate being represented by the diagonal lines.

He comes to a fork in a road and has to ask a native bystander which branch he should take to reach a village. A four-by-four matrix of this sort becomes an addition 18 Magic with a Matrix 12 1 4 18 0 7 19 8 11 25 7 0 12 1 4 18 0 4 16 5 8 22 4 9 21 10 13 27 9 2 14 3 6 20 2 FIG. I discovered hexaflexagons from YouTube user ViHart this past school year.

Perhaps even more astounding is the paradox of the sec- ond ace. America’s Greatest Puzzlist 89 and pal are on squares of another color.

Hexaflexagons and Other Mathematical Diversions

This extra piece cannot interfere with the first play- er’s imitation of the winning strategy, for an extra piece is always an asset and never a handicap. Hexaflexagons and Other Mathematical Diversions: Play first in the center, then seek to form on each of your sides a chain of separated links that are either diag- onal or vertical, like the two chains shown in Figure An impressive impromptu stunt is to ask someone to give you a number above 30 this is specified to avoid bothersome minus numbers in the matrixthen proceed to draw quickly a four-by-four matrix that will force that number.


When you add the five numbers beneath the pennies — numbers chosen seemingly at random — the total is certain to be The second player has a decided advantage. After walking a mile south, your next walk of 28 Nine Problems one mile east will take you on a complete circle around the Pole, and the walk one mile north from there will then re- turn you to the starting point. A4x4x4x4 hypercube, for example, would be diagramed as shown in Figure Therefore their removal leaves a board with two more squares of one color than of the other.

The digit preceding the decimal point need not be considered since it is obvious. At the beginning of the puzzle the last two numbers are not in serial order. Although we cannot make a model of a four-dimensional cube called a hypercube or tesseractwe can project the network of its edges in the three-dimensional model depicted at right of Figure Many other words can of course be substituted for those chosen here.

In the s the puzzle had a tremendous vogue both here and abroad and nu- merous learned articles about it appeared in mathematical journals. He also found that with a strip of paper cut in a zigzag pattern Hexaflexagons 7 i.

The answer is yes.

It could have been constructed to respond instantly to moves, but thermistors were used to slow down its operation. The chapters aren’t terribly even; some are much more interesting and thought provoking than others.


Let us assume that they are a nine, a queen and an ace. Return to Book Page. Peipers of New York. Paper models are easily constructed to illustrate examples of each of these sixteen surfaces.

Hexaflexagons and Other Mathematical Diversions by Martin Gardner

The operation of the trick yields easily to analysis. However, it is likely that the number of such cards is less than the number of reversed cards among the 32 which you are holding. When the hexafledagons is turned slightly, the parts fit differently, and one warrior completely disappears! Since they arrive home 10 minutes ear- Nine Oher 35 lier than usual, this diversiond that the wife has chopped 10 minutes from her usual travel time to and from the station, or hecaflexagons minutes from her travel time to the station.

The graph stops with 60 people be- cause beyond that number the probability is too close to certainty for the curve to be distinguished on the graph from a straight line. We now have what appears to be two nested Moebius bands. The logician thinks a moment, then asks one question only.

This type of diagram can be applied usefully to the traversing of any type of flexagon. Does his widow draw workmen’s 14 Hexaflexagons compensation for the duration of his absenceor can we have him declared legally dead immediately?